Below are listed the dyadic chords of 11-limit wizard temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 385/384 keenanismic, and by 225/224 marvel. Those requiring tempering by any two of 540/539, 385/384 or 225/224 are labeled unimarvel.

The normal mapping for wizard is wiz = [<2 1 5 2 8|, <0 6 -1 10 -3|]. From this we may derive a val v = wiz[1] + 100 wiz[2] = <2 601 -95 1002 -292|. Since v is approximately 100 times the generator chain val, <0 6 -1 10 -3|, it will sort elements of the 11-limit tonality diamond in the same order, but it uniquely encodes each interval. Since it is a val of wizard, we may take a chord, find the smallest element under the mapping, and use it to translate the whole chord starting at zero. The val v is what might be called a quasi higher rank val; it has a comma comma basis 225/224, 385/384, 4000/3993, 1001255211106304, which are the commas of wizard plus a complex interval which can play no role in ordinary circumstances, so that v can be used in place of the mapping for wizard.

Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.

Wizard has MOS of size 6, 10, 16, 22, 28, 50 and 72. It may be seen that even ten notes supplies enough chords to be interesting, and that by the time we reach 22 we might feel we are pretty well supplied.

Triads

Number	Chord	Transversal	Type	Complexity
1	0-101-200	1-8/5-9/7	marvel	4
2	0-101-300	1-8/5-16/11	utonal	6
3	0-201-300	1-20/11-16/11	otonal	6
4	0-101-399	1-8/5-7/6	keenanismic	8
5	0-200-399	1-9/7-7/6	swetismic	8
6	0-201-399	1-20/11-7/6	swetismic	8
7	0-300-399	1-16/11-7/6	keenanismic	8
8	0-200-599	1-9/7-3/2	utonal	12
9	0-399-599	1-7/6-3/2	otonal	12
10	0-101-698	1-8/5-6/5	otonal	14
11	0-599-698	1-3/2-6/5	utonal	14
12	0-201-897	1-20/11-12/11	otonal	18
13	0-300-897	1-16/11-12/11	otonal	18
14	0-599-897	1-3/2-12/11	utonal	18
15	0-698-897	1-6/5-12/11	utonal	18
16	0-101-998	1-8/5-7/4	keenanismic	20
17	0-300-998	1-16/11-7/4	keenanismic	20
18	0-399-998	1-7/6-7/4	utonal	20
19	0-599-998	1-3/2-7/4	otonal	20
20	0-698-998	1-6/5-7/4	keenanismic	20
21	0-897-998	1-12/11-7/4	keenanismic	20
22	0-101-1097	1-8/5-7/5	otonal	22
23	0-200-1097	1-9/7-7/5	swetismic	22
24	0-399-1097	1-7/6-7/5	utonal	22
25	0-698-1097	1-6/5-7/5	otonal	22
26	0-897-1097	1-12/11-7/5	swetismic	22
27	0-998-1097	1-7/4-7/5	utonal	22
28	0-101-1196	1-8/5-9/8	marvel	24
29	0-200-1196	1-9/7-9/8	utonal	24
30	0-599-1196	1-3/2-9/8	ambitonal	24
31	0-998-1196	1-7/4-9/8	otonal	24
32	0-1097-1196	1-7/5-9/8	marvel	24
33	0-201-1296	1-20/11-14/11	otonal	26
34	0-300-1296	1-16/11-14/11	otonal	26
35	0-399-1296	1-7/6-14/11	utonal	26
36	0-897-1296	1-12/11-14/11	otonal	26
37	0-998-1296	1-7/4-14/11	utonal	26
38	0-1097-1296	1-7/5-14/11	utonal	26
39	0-101-1297	1-8/5-9/5	otonal	26
40	0-200-1297	1-9/7-9/5	utonal	26
41	0-599-1297	1-3/2-9/5	utonal	26
42	0-698-1297	1-6/5-9/5	otonal	26
43	0-1097-1297	1-7/5-9/5	otonal	26
44	0-1196-1297	1-9/8-9/5	utonal	26
45	0-200-1496	1-9/7-18/11	utonal	30
46	0-201-1496	1-20/11-18/11	otonal	30
47	0-300-1496	1-16/11-18/11	otonal	30
48	0-399-1496	1-7/6-18/11	swetismic	30
49	0-599-1496	1-3/2-18/11	utonal	30
50	0-897-1496	1-12/11-18/11	otonal	30
51	0-1097-1496	1-7/5-18/11	swetismic	30
52	0-1196-1496	1-9/8-18/11	utonal	30
53	0-1296-1496	1-14/11-18/11	otonal	30
54	0-1297-1496	1-9/5-18/11	utonal	30

Tetrads

Number	Chord	Transversal	Type	Complexity
1	0-101-200-399	1-8/5-9/7-7/6	unimarvel	8
2	0-101-300-399	1-8/5-16/11-7/6	keenanismic	8
3	0-201-300-399	1-20/11-16/11-7/6	unimarvel	8
4	0-200-399-599	1-9/7-7/6-3/2	swetismic	12
5	0-201-300-897	1-20/11-16/11-12/11	otonal	18
6	0-599-698-897	1-3/2-6/5-12/11	utonal	18
7	0-101-300-998	1-8/5-16/11-7/4	keenanismic	20
8	0-101-399-998	1-8/5-7/6-7/4	keenanismic	20
9	0-300-399-998	1-16/11-7/6-7/4	keenanismic	20
10	0-399-599-998	1-7/6-3/2-7/4	ambitonal	20
11	0-101-698-998	1-8/5-6/5-7/4	keenanismic	20
12	0-599-698-998	1-3/2-6/5-7/4	keenanismic	20
13	0-300-897-998	1-16/11-12/11-7/4	keenanismic	20
14	0-599-897-998	1-3/2-12/11-7/4	keenanismic	20
15	0-698-897-998	1-6/5-12/11-7/4	keenanismic	20
16	0-101-200-1097	1-8/5-9/7-7/5	unimarvel	22
17	0-101-399-1097	1-8/5-7/6-7/5	keenanismic	22
18	0-200-399-1097	1-9/7-7/6-7/5	swetismic	22
19	0-101-698-1097	1-8/5-6/5-7/5	otonal	22
20	0-698-897-1097	1-6/5-12/11-7/5	swetismic	22
21	0-101-998-1097	1-8/5-7/4-7/5	keenanismic	22
22	0-399-998-1097	1-7/6-7/4-7/5	utonal	22
23	0-698-998-1097	1-6/5-7/4-7/5	keenanismic	22
24	0-897-998-1097	1-12/11-7/4-7/5	unimarvel	22
25	0-101-200-1196	1-8/5-9/7-9/8	marvel	24
26	0-200-599-1196	1-9/7-3/2-9/8	utonal	24
27	0-101-998-1196	1-8/5-7/4-9/8	unimarvel	24
28	0-599-998-1196	1-3/2-7/4-9/8	otonal	24
29	0-101-1097-1196	1-8/5-7/5-9/8	marvel	24
30	0-200-1097-1196	1-9/7-7/5-9/8	unimarvel	24
31	0-998-1097-1196	1-7/4-7/5-9/8	marvel	24
32	0-201-300-1296	1-20/11-16/11-14/11	otonal	26
33	0-201-399-1296	1-20/11-7/6-14/11	swetismic	26
34	0-300-399-1296	1-16/11-7/6-14/11	keenanismic	26
35	0-201-897-1296	1-20/11-12/11-14/11	otonal	26
36	0-300-897-1296	1-16/11-12/11-14/11	otonal	26
37	0-300-998-1296	1-16/11-7/4-14/11	keenanismic	26
38	0-399-998-1296	1-7/6-7/4-14/11	utonal	26
39	0-897-998-1296	1-12/11-7/4-14/11	keenanismic	26
40	0-399-1097-1296	1-7/6-7/5-14/11	utonal	26
41	0-897-1097-1296	1-12/11-7/5-14/11	swetismic	26
42	0-998-1097-1296	1-7/4-7/5-14/11	utonal	26
43	0-101-200-1297	1-8/5-9/7-9/5	marvel	26
44	0-200-599-1297	1-9/7-3/2-9/5	utonal	26
45	0-101-698-1297	1-8/5-6/5-9/5	otonal	26
46	0-599-698-1297	1-3/2-6/5-9/5	ambitonal	26
47	0-101-1097-1297	1-8/5-7/5-9/5	otonal	26
48	0-200-1097-1297	1-9/7-7/5-9/5	swetismic	26
49	0-698-1097-1297	1-6/5-7/5-9/5	otonal	26
50	0-101-1196-1297	1-8/5-9/8-9/5	marvel	26
51	0-200-1196-1297	1-9/7-9/8-9/5	utonal	26
52	0-599-1196-1297	1-3/2-9/8-9/5	utonal	26
53	0-1097-1196-1297	1-7/5-9/8-9/5	marvel	26
54	0-201-300-1496	1-20/11-16/11-18/11	otonal	30
55	0-200-399-1496	1-9/7-7/6-18/11	swetismic	30
56	0-201-399-1496	1-20/11-7/6-18/11	swetismic	30
57	0-300-399-1496	1-16/11-7/6-18/11	unimarvel	30
58	0-200-599-1496	1-9/7-3/2-18/11	utonal	30
59	0-399-599-1496	1-7/6-3/2-18/11	swetismic	30
60	0-201-897-1496	1-20/11-12/11-18/11	otonal	30
61	0-300-897-1496	1-16/11-12/11-18/11	otonal	30
62	0-599-897-1496	1-3/2-12/11-18/11	ambitonal	30
63	0-200-1097-1496	1-9/7-7/5-18/11	swetismic	30
64	0-399-1097-1496	1-7/6-7/5-18/11	swetismic	30
65	0-897-1097-1496	1-12/11-7/5-18/11	swetismic	30
66	0-200-1196-1496	1-9/7-9/8-18/11	utonal	30
67	0-599-1196-1496	1-3/2-9/8-18/11	utonal	30
68	0-1097-1196-1496	1-7/5-9/8-18/11	unimarvel	30
69	0-201-1296-1496	1-20/11-14/11-18/11	otonal	30
70	0-300-1296-1496	1-16/11-14/11-18/11	otonal	30
71	0-399-1296-1496	1-7/6-14/11-18/11	swetismic	30
72	0-897-1296-1496	1-12/11-14/11-18/11	otonal	30
73	0-1097-1296-1496	1-7/5-14/11-18/11	swetismic	30
74	0-200-1297-1496	1-9/7-9/5-18/11	utonal	30
75	0-599-1297-1496	1-3/2-9/5-18/11	utonal	30
76	0-1097-1297-1496	1-7/5-9/5-18/11	swetismic	30
77	0-1196-1297-1496	1-9/8-9/5-18/11	utonal	30

Pentads

Number	Chord	Transversal	Type	Complexity
1	0-101-300-399-998	1-8/5-16/11-7/6-7/4	keenanismic	20
2	0-599-698-897-998	1-3/2-6/5-12/11-7/4	keenanismic	20
3	0-101-200-399-1097	1-8/5-9/7-7/6-7/5	unimarvel	22
4	0-101-399-998-1097	1-8/5-7/6-7/4-7/5	keenanismic	22
5	0-101-698-998-1097	1-8/5-6/5-7/4-7/5	keenanismic	22
6	0-698-897-998-1097	1-6/5-12/11-7/4-7/5	unimarvel	22
7	0-101-200-1097-1196	1-8/5-9/7-7/5-9/8	unimarvel	24
8	0-101-998-1097-1196	1-8/5-7/4-7/5-9/8	unimarvel	24
9	0-201-300-399-1296	1-20/11-16/11-7/6-14/11	unimarvel	26
10	0-201-300-897-1296	1-20/11-16/11-12/11-14/11	otonal	26
11	0-300-399-998-1296	1-16/11-7/6-7/4-14/11	keenanismic	26
12	0-300-897-998-1296	1-16/11-12/11-7/4-14/11	keenanismic	26
13	0-399-998-1097-1296	1-7/6-7/4-7/5-14/11	utonal	26
14	0-897-998-1097-1296	1-12/11-7/4-7/5-14/11	unimarvel	26
15	0-101-200-1097-1297	1-8/5-9/7-7/5-9/5	unimarvel	26
16	0-101-698-1097-1297	1-8/5-6/5-7/5-9/5	otonal	26
17	0-101-200-1196-1297	1-8/5-9/7-9/8-9/5	marvel	26
18	0-200-599-1196-1297	1-9/7-3/2-9/8-9/5	utonal	26
19	0-101-1097-1196-1297	1-8/5-7/5-9/8-9/5	marvel	26
20	0-200-1097-1196-1297	1-9/7-7/5-9/8-9/5	unimarvel	26
21	0-201-300-399-1496	1-20/11-16/11-7/6-18/11	unimarvel	30
22	0-200-399-599-1496	1-9/7-7/6-3/2-18/11	swetismic	30
23	0-201-300-897-1496	1-20/11-16/11-12/11-18/11	otonal	30
24	0-200-399-1097-1496	1-9/7-7/6-7/5-18/11	swetismic	30
25	0-200-599-1196-1496	1-9/7-3/2-9/8-18/11	utonal	30
26	0-200-1097-1196-1496	1-9/7-7/5-9/8-18/11	unimarvel	30
27	0-201-300-1296-1496	1-20/11-16/11-14/11-18/11	otonal	30
28	0-201-399-1296-1496	1-20/11-7/6-14/11-18/11	swetismic	30
29	0-300-399-1296-1496	1-16/11-7/6-14/11-18/11	unimarvel	30
30	0-201-897-1296-1496	1-20/11-12/11-14/11-18/11	otonal	30
31	0-300-897-1296-1496	1-16/11-12/11-14/11-18/11	otonal	30
32	0-399-1097-1296-1496	1-7/6-7/5-14/11-18/11	swetismic	30
33	0-897-1097-1296-1496	1-12/11-7/5-14/11-18/11	swetismic	30
34	0-200-599-1297-1496	1-9/7-3/2-9/5-18/11	utonal	30
35	0-200-1097-1297-1496	1-9/7-7/5-9/5-18/11	swetismic	30
36	0-200-1196-1297-1496	1-9/7-9/8-9/5-18/11	utonal	30
37	0-599-1196-1297-1496	1-3/2-9/8-9/5-18/11	utonal	30
38	0-1097-1196-1297-1496	1-7/5-9/8-9/5-18/11	unimarvel	30

Hexads

Number	Chord	Transversal	Type	Complexity
1	0-101-200-1097-1196-1297	1-8/5-9/7-7/5-9/8-9/5	unimarvel	26
2	0-201-300-399-1296-1496	1-20/11-16/11-7/6-14/11 18/11	unimarvel	30
3	0-201-300-897-1296-1496	1-20/11-16/11-12/11-14/11-18/11	otonal	30
4	0-200-599-1196-1297-1496	1-9/7-3/2-9/8-9/5-18/11	utonal	30
5	0-200-1097-1196-1297-1496	1-9/7-7/5-9/8-9/5-18/11	unimarvel	30